# Math Help - A Cantor set

1. ## A Cantor set

Is this set {0,1,1/2,1/3,...} a Cantor set in [0,1] with the discrete topology?

2. What do you mean by "a" Cantor set?

3. By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.

4. Originally Posted by Veve
By a Cantor set I mean that it should be perfect, totaly disconnected and nowhere dense.
If a set $X$ is a perfect set then if $x \in X$, $x$ is a limit point of $X$.